parameter A. Suppose the probability of having a zero breakdown in a random chosen week is 0.2. (a) Find the value of ). [3 marb (b) Find the expectation and variance of the number of breakdowns in a week. 2 marb
parameter A. Suppose the probability of having a zero breakdown in a random chosen week is 0.2. (a) Find the value of ). [3 marb (b) Find the expectation and variance of the number of breakdowns in a week. 2 marb
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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![1. The number of breakdowns per week follows a Poisson distribution with the mean
parameter A. Suppose the probability of having a zero breakdown in a randomly
chosen week is 0.2.
(a) Find the value of A.
[3 marks]
(b) Find the expectation and variance of the number of breakdowns in a week.
[2 marks]
(c) It is known that the machine has broken down in a randomly chosen week. What
is the probability that there is at most one breakdown?
[10 marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb446bf91-1de4-4fa5-84d1-2e22b00eb5d2%2Fb342588b-41f8-427f-9079-6c1ddd265988%2Fpv9m7p_processed.png&w=3840&q=75)
Transcribed Image Text:1. The number of breakdowns per week follows a Poisson distribution with the mean
parameter A. Suppose the probability of having a zero breakdown in a randomly
chosen week is 0.2.
(a) Find the value of A.
[3 marks]
(b) Find the expectation and variance of the number of breakdowns in a week.
[2 marks]
(c) It is known that the machine has broken down in a randomly chosen week. What
is the probability that there is at most one breakdown?
[10 marks]
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